The Magnetic Prandtl Number is a dimensionless number used in magnetohydrodynamics to describe the relative balance of viscous to magnetic diffusion.
where: σ is the conductivity of the fluid, μ0 is the magnetic permeability of the fluid, ν is the kinematic viscosity of the fluid, η is the magnetic diffusivity.
^ Gubbins, D. (2007), Geodynamo, dimensional analysis and timescales, in Encyclopedia of Geomagnetism and Paleomagnetism, edited by D. Gubbins and E. Herrero-Bervera, pp. 297–300, Springer, Dordrecht.
Magnetic Prandtl Number
Table of Contents
where:
σ is the conductivity of the fluid,
μ0 is the magnetic permeability of the fluid,
ν is the kinematic viscosity of the fluid,
η is the magnetic diffusivity.
A typical value for the Earth is Pr ~ 1[1] .
References
Further Reading
Can be removed if not needed.See Also
List of Dimensionless Numbers